The formula for the surface area of a sphere is 4πr^2, where r is the radius of the sphere.
Since the diameter of the sphere is given as 30 inches, the radius would be half of the diameter, which is 30/2 = 15 inches.
Plugging this value into the surface area formula, we get:
Surface area = 4π(15^2)
Surface area = 4π(225)
Surface area = 900π
Therefore, the surface area of the sphere is 900π square inches.
So the answer is D. 900π in.^2.
Find the surface area of a sphere with a diameter of 30 inches. Leave your answer in terms of pi.
A. 3,600π in.^2
B. 2,826π in.^2
C. 225π in.^2
D. 900π in.^2
3 answers
Which of the following is true about the diameter of a sphere?
A. The diameter of a sphere passes through the center of the circle.
B. The diameter is the shortest length on a sphere.
C. The diameter is 2.5 times the length of the radius.
D. The diameter is not a chord.
A. The diameter of a sphere passes through the center of the circle.
B. The diameter is the shortest length on a sphere.
C. The diameter is 2.5 times the length of the radius.
D. The diameter is not a chord.
A. The diameter of a sphere passes through the center of the circle.
This is true about the diameter of a sphere. The diameter is a straight line that passes through the center of the sphere and has both endpoints on the surface of the sphere.
This is true about the diameter of a sphere. The diameter is a straight line that passes through the center of the sphere and has both endpoints on the surface of the sphere.